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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 10.00 × 8.646
Aluminum I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 132.09 in4) for the 10.00 × 8.646 Aluminum I Beam and the typical Young's modulus (E = 1.015 × 107 psi) of Aluminum Alloys. Note that the typical yielding stress Yield of Aluminum Alloys can range from 4061 to 7.614 × 104 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.
Note: The weight of the beam itself is not included in the calculation.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
   
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 5.69 × 10-6 3.79
9.00 5.92 × 10-6 3.94
10.0 6.58 × 10-6 4.38
20.0 1.32 × 10-5 8.76
30.0 1.97 × 10-5 13.1
40.0 2.63 × 10-5 17.5
50.0 3.29 × 10-5 21.9
60.0 3.95 × 10-5 26.3
70.0 4.60 × 10-5 30.6
80.0 5.26 × 10-5 35.0
90.0 5.92 × 10-5 39.4
100 6.58 × 10-5 43.8
200 1.32 × 10-4 87.6
300 1.97 × 10-4 131
400 2.63 × 10-4 175
500 3.29 × 10-4 219
600 3.95 × 10-4 263
700 4.60 × 10-4 306
800 5.26 × 10-4 350
900 5.92 × 10-4 394
1000 6.58 × 10-4 438
2000 0.00132 876
3000 0.00197 1310
4000 0.00263 1750
5000 0.00329 2190
6000 0.00395 2630
7000 0.00460 3060
8000 0.00526 3500
9000 0.00592 3940
1.00 × 104 0.00658 4380
2.00 × 104 0.0132 8760
3.00 × 104 0.0197 1.31 × 104
4.00 × 104 0.0263 1.75 × 104
5.00 × 104 0.0329 2.19 × 104
6.00 × 104 0.0395 2.63 × 104
7.00 × 104 0.0460 3.06 × 104
8.00 × 104 0.0526 3.50 × 104
9.00 × 104 0.0592 3.94 × 104
1.00 × 105 0.0658 4.38 × 104
1.74 × 105 0.114 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 4.39 × 10-5 10.5
9.00 4.57 × 10-5 10.9
10.0 5.07 × 10-5 12.2
20.0 1.01 × 10-4 24.3
30.0 1.52 × 10-4 36.5
40.0 2.03 × 10-4 48.6
50.0 2.54 × 10-4 60.8
60.0 3.04 × 10-4 73.0
70.0 3.55 × 10-4 85.1
80.0 4.06 × 10-4 97.3
90.0 4.57 × 10-4 109
100 5.07 × 10-4 122
200 0.00101 243
300 0.00152 365
400 0.00203 486
500 0.00254 608
600 0.00304 730
700 0.00355 851
800 0.00406 973
900 0.00457 1090
1000 0.00507 1220
2000 0.0101 2430
3000 0.0152 3650
4000 0.0203 4860
5000 0.0254 6080
6000 0.0304 7300
7000 0.0355 8510
8000 0.0406 9730
9000 0.0457 1.09 × 104
1.00 × 104 0.0507 1.22 × 104
2.00 × 104 0.101 2.43 × 104
3.00 × 104 0.152 3.65 × 104
4.00 × 104 0.203 4.86 × 104
5.00 × 104 0.254 6.08 × 104
6.00 × 104 0.304 7.30 × 104
6.26 × 104 0.318 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 7.02 × 10-4 42.1
9.00 7.31 × 10-4 43.8
10.0 8.12 × 10-4 48.6
20.0 0.00162 97.3
30.0 0.00244 146
40.0 0.00325 195
50.0 0.00406 243
60.0 0.00487 292
70.0 0.00568 341
80.0 0.00649 389
90.0 0.00731 438
100 0.00812 486
200 0.0162 973
300 0.0244 1460
400 0.0325 1950
500 0.0406 2430
600 0.0487 2920
700 0.0568 3410
800 0.0649 3890
900 0.0731 4380
1000 0.0812 4860
2000 0.162 9730
3000 0.244 1.46 × 104
4000 0.325 1.95 × 104
5000 0.406 2.43 × 104
6000 0.487 2.92 × 104
7000 0.568 3.41 × 104
8000 0.649 3.89 × 104
9000 0.731 4.38 × 104
1.00 × 104 0.812 4.86 × 104
1.57 × 104 1.27 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.00355 94.6
9.00 0.00370 98.5
10.0 0.00411 109
20.0 0.00822 219
30.0 0.0123 328
40.0 0.0164 438
50.0 0.0205 547
60.0 0.0247 657
70.0 0.0288 766
80.0 0.0329 876
90.0 0.0370 985
100 0.0411 1090
200 0.0822 2190
300 0.123 3280
400 0.164 4380
500 0.205 5470
600 0.247 6570
700 0.288 7660
800 0.329 8760
900 0.370 9850
1000 0.411 1.09 × 104
2000 0.822 2.19 × 104
3000 1.23 3.28 × 104
4000 1.64 4.38 × 104
5000 2.05 5.47 × 104
6000 2.47 6.57 × 104
6960 2.86 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.0112 168
9.00 0.0117 175
10.0 0.0130 195
20.0 0.0260 389
30.0 0.0390 584
40.0 0.0520 778
50.0 0.0649 973
60.0 0.0779 1170
70.0 0.0909 1360
80.0 0.104 1560
90.0 0.117 1750
100 0.130 1950
200 0.260 3890
300 0.390 5840
400 0.520 7780
500 0.649 9730
600 0.779 1.17 × 104
700 0.909 1.36 × 104
800 1.04 1.56 × 104
900 1.17 1.75 × 104
1000 1.30 1.95 × 104
2000 2.60 3.89 × 104
3000 3.90 5.84 × 104
3910 5.08 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.0274 263
9.00 0.0285 274
10.0 0.0317 304
20.0 0.0634 608
30.0 0.0951 912
40.0 0.127 1220
50.0 0.159 1520
60.0 0.190 1820
70.0 0.222 2130
80.0 0.254 2430
90.0 0.285 2740
100 0.317 3040
200 0.634 6080
300 0.951 9120
400 1.27 1.22 × 104
500 1.59 1.52 × 104
600 1.90 1.82 × 104
700 2.22 2.13 × 104
800 2.54 2.43 × 104
900 2.85 2.74 × 104
1000 3.17 3.04 × 104
2000 6.34 6.08 × 104
2500 7.94 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.0569 379
9.00 0.0592 394
10.0 0.0658 438
20.0 0.132 876
30.0 0.197 1310
40.0 0.263 1750
50.0 0.329 2190
60.0 0.395 2630
70.0 0.460 3060
80.0 0.526 3500
90.0 0.592 3940
100 0.658 4380
200 1.32 8760
300 1.97 1.31 × 104
400 2.63 1.75 × 104
500 3.29 2.19 × 104
600 3.95 2.63 × 104
700 4.60 3.06 × 104
800 5.26 3.50 × 104
900 5.92 3.94 × 104
1000 6.58 4.38 × 104
1740 11.4 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.180 673
9.00 0.187 701
10.0 0.208 778
20.0 0.416 1560
30.0 0.623 2340
40.0 0.831 3110
50.0 1.04 3890
60.0 1.25 4670
70.0 1.45 5450
80.0 1.66 6230
90.0 1.87 7010
100 2.08 7780
200 4.16 1.56 × 104
300 6.23 2.34 × 104
400 8.31 3.11 × 104
481 10.0 3.75 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.439 1050
9.00 0.457 1090
10.0 0.507 1220
20.0 1.01 2430
30.0 1.52 3650
40.0 2.03 4860
50.0 2.54 6080
60.0 3.04 7300
70.0 3.55 8510
80.0 4.06 9730
90.0 4.57 1.09 × 104
100 5.07 1.22 × 104
197 10.0 2.40 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.910 1510
9.00 0.947 1580
10.0 1.05 1750
20.0 2.10 3500
30.0 3.16 5250
40.0 4.21 7010
50.0 5.26 8760
60.0 6.31 1.05 × 104
70.0 7.36 1.23 × 104
80.0 8.42 1.40 × 104
90.0 9.47 1.58 × 104
95.1 10.0 1.66 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 1.69 2060
9.00 1.75 2150
10.0 1.95 2380
20.0 3.90 4770
30.0 5.85 7150
40.0 7.80 9540
50.0 9.75 1.19 × 104
51.3 10.0 1.22 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 2.87 2690
9.00 2.99 2800
10.0 3.33 3110
20.0 6.65 6230
30.0 9.98 9340
30.1 10.0 9360
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 4.60 3410
9.00 4.79 3550
10.0 5.33 3940
18.8 10.0 7400
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 7.02 4210
9.00 7.31 4380
10.0 8.12 4860
12.3 10.0 5990
Additional Information
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